Let three vectors a⃗, b⃗ and c⃗ be such that is coplanar with a⃗ and b⃗, a⃗·c⃗=7 and b⃗ is perpen...

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For any three vectors a⃗, b⃗, c⃗, show that a⃗-b⃗, b⃗-c⃗, c⃗-a⃗ are coplanar. For any three vectors a⃗, b⃗, c⃗, show that a⃗-b⃗, b⃗-c⃗, c⃗-a⃗ are coplanar.
If a⃗, b⃗, c⃗ are three vectors such that a⃗×b⃗=c⃗, b⃗×c⃗=a⃗, prove that a⃗, b⃗, c⃗ are mutually ... If a⃗, b⃗, c⃗ are three vectors such that a⃗×b⃗=c⃗, b⃗×c⃗=a⃗, prove that a⃗, b⃗, c⃗ are mutually ...
Let a⃗, b⃗, and c⃗ be three non-coplanar unit vectors such that the angle between every pair of t... Let a⃗, b⃗, and c⃗ be three non-coplanar unit vectors such that the angle between every pair of t...
Three vectors a⃗, b⃗ and c⃗ satisfy the condition a⃗+b⃗+c⃗=0. Evaluate the quantity μ=a⃗·b⃗+b⃗·c⃗... Three vectors a⃗, b⃗ and c⃗ satisfy the condition a⃗+b⃗+c⃗=0. Evaluate the quantity μ=a⃗·b⃗+b⃗·c⃗...
If a⃗, b⃗, c⃗ are any three coplanar unit vectors, then (1) a⃗·(b⃗×c⃗)=1 (2) a⃗·(b⃗×c⃗)=3 (3) (a⃗... If a⃗, b⃗, c⃗ are any three coplanar unit vectors, then (1) a⃗·(b⃗×c⃗)=1 (2) a⃗·(b⃗×c⃗)=3 (3) (a⃗...
Prove that the necessary and sufficient condition for three vectors a⃗, b⃗ and c⃗ to be coplanar ... Prove that the necessary and sufficient condition for three vectors a⃗, b⃗ and c⃗ to be coplanar ...
Let a⃗, b⃗ and c⃗ be three non-coplanar vectors and r⃗ be any arbitrary vector. Then (a⃗×b⃗) ×(r⃗... Let a⃗, b⃗ and c⃗ be three non-coplanar vectors and r⃗ be any arbitrary vector. Then (a⃗×b⃗) ×(r⃗...
a⃗, b⃗ and c⃗ be three vectors having magnitudes 1,1 and 2 respectively. If a⃗×(a⃗×c⃗)+b⃗=0, then... a⃗, b⃗ and c⃗ be three vectors having magnitudes 1,1 and 2 respectively. If a⃗×(a⃗×c⃗)+b⃗=0, then...